function test()
{
    var stringArray = new Array();
    stringArray[0] = "item1";
    stringArray[1] = "item2";
    stringArray[2] = "item3";
    var postData = { values: stringArray };
 
    $.ajax({
        type: "POST",
        url: "/Home/SaveList",
        data: postData,
        success: function(data){
            alert(data.Result);
        },
        dataType: "json",
        traditional: true
    });
}

public JsonResult SaveList(List<String> values)
{
    return Json(new { Result = String.Format("Fist item in list: '{0}'", values[0]) });
}